What is the temperature in degrees celsius and in kelvins?

Question

A 0.296 g sample of carbon dioxide, CO2, has a volume of 515 mL and a pressure of 415 mmHg . What is the temperature, in kelvins and degrees Celsius, of the gas?

Answer 1

What are you given?

mass of CO2 = 0.296 g (you can convert this to moles)

volume = 515 ml

pressure = 415 mm Hg

What are you asked to find?

Find temperature

What equation do you use? PV = nRT

P = 415 mm x 1 atm/760 mm = 0.546 atm

V = 515 ml x 1 L/1000 ml = 0.515 L

n = 0.296 g CO2 x 1 mol/44 g = 0.00673 moles

R = 0.0821 L-atm/K-mole (note units which is why we use atm for P and L for V)

T = ? (the answer will be in K which can then be converted to C)

T = PV/nR = (0.546 atm)(0.515 L)/(0.00673 mol)(0.0821 Latm/Kmol)

T = 508.9K = 509K

T = 509 - 273 = 236ºC